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Interval oscillation of second-order half-linear functional differential equations

Applied Mathematics and Computation, 2004
By employing an inequality due to Hardy, Littlewood and Polya and averaging techniques, new interval oscillation criteria are established for the second-order half-linear functional-differential equation \[ \Big[r(t)| y'(t)| ^{\alpha-1} y'(t)\Big]'+q(t)| y(\tau(t))| ^{\alpha-1}y(\tau(t))=0. \] The presented results show that the term \(\tau(t)=t\pm\tau\
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